Practice Flashcards
Flip to reveal answersWhat does a number in standard form look like?
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All 8 Flashcards — Writing standard form
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Question
What does a number in standard form look like?
Answer
a × 10ᵏ, with 1 ≤ a < 10 and k a whole number. Example: 4.53 × 10⁴.
Question
In a × 10ᵏ, what is the allowed range for the coefficient a?
Answer
1 ≤ a < 10 (at least 1, less than 10). So 7 × 10³ ✓ but 12 × 10³ ✗.
Question
Big number (10 or more): is the exponent positive or negative?
Answer
Positive. Example: 52 000 = 5.2 × 10⁴.
Question
Small number (less than 1): is the exponent positive or negative?
Answer
Negative. Example: 0.0007 = 7 × 10⁻⁴.
Question
How do you find the exponent k?
Answer
Count how many places the point moves to leave one non-zero digit in front. Left → positive, right → negative.
Question
Write 73 000 in standard form.
Answer
7.3 × 10⁴.
Question
Your GDC shows 6.1ᴇ-5. What is this in standard form?
Answer
6.1 × 10⁻⁵ — the ᴇ symbol means × 10.
Question
Why is 45.3 × 10⁶ not standard form? Fix it.
Answer
The coefficient 45.3 is not between 1 and 10. Correct: 4.53 × 10⁷.
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Full study notes for Writing standard form
Topic 1.1 hub
Standard form
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